Korean J. Math. Vol. 23 No. 1 (2015) pp.181-197
DOI: https://doi.org/10.11568/kjm.2015.23.1.181

Lipschitz and asymptotic stability of nonlinear systems of perturbed differential equations

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Published: Mar 30, 2015
Keywords:
uniformly Lipschitz stability, uniformly Lipschitz stability in variation, exponentially asymptotic stability, exponentially asymptotic stability in variation.
Mathematics Subject Classification:
34D10, 34D20

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Sang Il Choi
Department of Mathematics Hanseo University Seosan 356-706, Republic of Korea
Yoon Hoe Goo
Department of Mathematics Hanseo University Seosan 356-706, Republic of Korea

Abstract

In this paper, we investigate Lipschitz and asymptotic stability for perturbed nonlinear differential systems.


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